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Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction
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SYSNO ASEP 0323859 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Ostatní články Název Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction Překlad názvu Optimalizace tvaru třídimenzionálních těles s Coulobmovským kontaktem Tvůrce(i) Beremlijski, P. (CZ)
Haslinger, J. (CZ)
Kočvara, Michal (UTIA-B) RID, ORCID
Kučera, R. (CZ)
Outrata, Jiří (UTIA-B) RID, ORCIDZdroj.dok. SIAM Journal on Optimization. - : SIAM Society for Industrial and Applied Mathematics - ISSN 1052-6234
Roč. 20, č. 1 (2009), s. 416-444Poč.str. 29 s. Forma vydání www - www Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova shape optimization ; contact problems ; Coulomb friction Vědní obor RIV BA - Obecná matematika CEP IAA100750802 GA AV ČR - Akademie věd IAA1075402 GA AV ČR - Akademie věd CEZ AV0Z10750506 - UTIA-B (2005-2011) DOI https://doi.org/10.1137/080714427 Anotace We study the discretized problem of the shape optimization of three-dimensional elastic bodies in unilateral contact. The aim is to extend existing results to the case of contact problems obeying the Coulomb friction law. Mathematical modeling of the Coulomb friction problem leads to an implicit variational inequality. It is shown that for small coefficients of friction the discretized problem with Coulomb friction has a unique solution and that this solution is Lipschitzian as a function of a control variable describing the shape of the elastic body. The two-dimensional case of this problem was studied by the authors in SIAM J. Optim.; there we used the so-called implicit programming approach combined with the generalized differential calculus of Clarke. The extension of this technique to the three-dimensional situation is by no means straightforward. The main source of difficulties is the nonpolyhedral character of the second-order (Lorentz) cone, arising in the 3D model. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2009
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